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Title: Fermionic SPT phases in higher dimensions and bosonization

Abstract

We discuss bosonization and Fermionic Short-Range-Entangled (FSRE) phases of matter in one, two, and three spatial dimensions, emphasizing the physical meaning of the cohomological parameters which label such phases and the connection with higher-form symmetries. We propose a classification scheme for fermionic SPT phases in three spatial dimensions with an arbitrary finite point symmetry G. It generalizes the supercohomology of Gu and Wen. We argue that the most general such phase can be obtained from a bosonic “shadow” by condensing both fermionic particles and strings.

Authors:
 [1];  [2]
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States)
  2. Univ. of California, Berkeley, CA (United States)
Publication Date:
Research Org.:
California Inst. of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1597951
Grant/Contract Number:  
[SC0011632]
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
[Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 10]; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Anomalies in Field and String Theories; Effective Field Theories; Topological Field Theories; Topological States of Matter

Citation Formats

Kapustin, Anton, and Thorngren, Ryan. Fermionic SPT phases in higher dimensions and bosonization. United States: N. p., 2017. Web. doi:10.1007/JHEP10(2017)080.
Kapustin, Anton, & Thorngren, Ryan. Fermionic SPT phases in higher dimensions and bosonization. United States. doi:10.1007/JHEP10(2017)080.
Kapustin, Anton, and Thorngren, Ryan. Wed . "Fermionic SPT phases in higher dimensions and bosonization". United States. doi:10.1007/JHEP10(2017)080. https://www.osti.gov/servlets/purl/1597951.
@article{osti_1597951,
title = {Fermionic SPT phases in higher dimensions and bosonization},
author = {Kapustin, Anton and Thorngren, Ryan},
abstractNote = {We discuss bosonization and Fermionic Short-Range-Entangled (FSRE) phases of matter in one, two, and three spatial dimensions, emphasizing the physical meaning of the cohomological parameters which label such phases and the connection with higher-form symmetries. We propose a classification scheme for fermionic SPT phases in three spatial dimensions with an arbitrary finite point symmetry G. It generalizes the supercohomology of Gu and Wen. We argue that the most general such phase can be obtained from a bosonic “shadow” by condensing both fermionic particles and strings.},
doi = {10.1007/JHEP10(2017)080},
journal = {Journal of High Energy Physics (Online)},
number = [10],
volume = [2017],
place = {United States},
year = {2017},
month = {10}
}

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